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Finding the Fourth Proportional to 488,793,863.40, 734,041,100.70 and 259,211,351.40

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Solution

The fourth proportional to 488,793,863.40, 734,041,100.70 and 259,211,351.40 is: 389,267,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,793,863.40 : 734,041,100.70 = 259,211,351.40 : x
  2. Step 2: Convert to fraction form
    488,793,863.40/734,041,100.70 = 259,211,351.40/x
  3. Step 3: Cross multiply
    488,793,863.40x = 734,041,100.70 × 259,211,351.40
  4. Step 4: Simplify right side
    488,793,863.40x = 190,271,785,695,590,496
  5. Step 5: Solve for x
    x = 190,271,785,695,590,496/488,793,863.40
  6. Step 6: Final answer
    x = 389,267,951.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.